When a car is turning right and a bike is continuing straight, the bike is moving much faster than the car, through a narrow and obstructed window, from behind. The chances of the driver seeing you coming are low.
When designed well, the parking lane stops and becomes a turn lane. The car is responsible for merging across the bike lane in one action, and then making the right turn in another. This happens while there is less of a speed differential, and because it pulls over, it's obvious to the bike that it intends to turn right.
The amount of sidewalk you have to scan to see if there will be pedestrians in the crosswalk in the next ~5 seconds is tiny, whereas the amount of bike lane to scan is essentially the whole block.
When designed well, the parking lane stops and becomes a turn lane. The car is responsible for merging across the bike lane in one action, and then making the right turn in another. This happens while there is less of a speed differential, and because it pulls over, it's obvious to the bike that it intends to turn right.
The amount of sidewalk you have to scan to see if there will be pedestrians in the crosswalk in the next ~5 seconds is tiny, whereas the amount of bike lane to scan is essentially the whole block.